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Popular >

simplify (3cd^6)^3(cd)^4

Solution

simplify

(3 c d^{6})^{3} (c d)^{4}

Solution

27 c^{7} d^{22}

Solution steps

(3 c d^{6})^{3} (c d)^{4}

Simplify

(3 c d^{6})^{3} : 27 c^{3} d^{18}

= 27 c^{3} d^{18} (c d)^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(c d)^{4} = c^{4} d^{4}

= 27 c^{3} d^{18} c^{4} d^{4}

Simplify

c^{3} c^{4} : c^{7}

= 27 c^{7} d^{18} d^{4}

Simplify

d^{18} d^{4} : d^{22}

= 27 c^{7} d^{22}

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Frequently Asked Questions (FAQ)

What is (3cd^6)^3(cd)^4 ?
The solution to (3cd^6)^3(cd)^4 is 27c^7d^{22}